GCD of 393, 704, 608, 997 Calculator

Given Input numbers are 393, 704, 608, 997

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 393, 704, 608, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 704, 608, 997 is 1.

Therefore, GCD of numbers 393, 704, 608, 997 is 1

Given Input Data is 393, 704, 608, 997

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 393 is 3 x 131

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 997 is 997

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(393, 704) = 276672

GCD(393, 704) = ( 393 x 704 ) / 276672

GCD(393, 704) = 276672 / 276672

GCD(393, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 393, 704, 608, 997 is 1

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1. What is the GCD of 393, 704, 608, 997?

GCD of 393, 704, 608, 997 is 1

2. Where do I get the detailed procedure to find GCD of 393, 704, 608, 997?

You can find a detailed procedure to find GCD of 393, 704, 608, 997 on our page.

3. How to find GCD of 393, 704, 608, 997 on a calculator?

You can find the GCD of 393, 704, 608, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.